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Finding the Third Proportional to 77,367 and 117,631

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Solution

The third proportional to 77,367 and 117,631 is: 178,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,367 : 117,631 = 117,631 : x
  2. Step 2: Convert to fraction form
    77,367/117,631 = 117,631/x
  3. Step 3: Cross multiply
    77,367x = 117,631 × 117,631
  4. Step 4: Simplify right side
    77,367x = 13,837,052,161
  5. Step 5: Solve for x
    x = 13,837,052,161/77,367
  6. Step 6: Final answer
    x = 178,849.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.